Check Solutions to Equations

How many solutions does the following graph have?

• One solution

• Two solutions

• No solutions

• Infinitely many solutions

What program can you use to quickly check and/or solve a system of linear equations?

• delta math

• desmos

• math way

• photo math

How many solutions does the following graph have?

• One solution

• Two solutions

• No solutions

• Infinitely many solutions

What is the definition of infinite solutions?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true

• no matter what constant is substituted in for the variable, the equation will NEVER be true

• only this ONE solution will make the equation true

What is the definition of no solution?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true

• no matter what constant is substituted in for the variable, the equation will NEVER be true

• only this ONE solution will make the equation true

What is the definition of one solution?

• no matter what constant is substituted in for the variable, the equation is ALWAYS true

• no matter what constant is substituted in for the variable, the equation will NEVER be true

• only this ONE solution will make the equation true

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
5x + 6 = 2 + 3x

• one

• no solutions

• infinite solutions

Solve:
2x + 1 = 2x - 1

• No Solution

• x = 0

• Infinitely Many Solutions

3x + 15 = 15 + 3x

• No Solution

• x = 15

• Infinitely Many Solutions

Solve the equation:
3(x - 1) = 2x + 9

• x = 12

• no solution

• x = 10

• x = 6